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Finding the Fourth Proportional to 577.26, 796.32 and 344.34

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Solution

The fourth proportional to 577.26, 796.32 and 344.34 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 796.32 = 344.34 : x
  2. Step 2: Convert to fraction form
    577.26/796.32 = 344.34/x
  3. Step 3: Cross multiply
    577.26x = 796.32 × 344.34
  4. Step 4: Simplify right side
    577.26x = 274,204.83
  5. Step 5: Solve for x
    x = 274,204.83/577.26
  6. Step 6: Final answer
    x = 475.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.